Consider the following linear program: Maximize: z= x +3x + 2x + 2x. subject to: x + 2x. +x + 3x. +x. -2x +x + 3x. -X+X+2x + X. -6 + X -4 with: all variables nonnegative How may basic variables does the problem has? i1) i) Give an example of variables which can not form a set of basic variables together. Give reasons. 111) Write one degenerate basic feasible solution.
Consider the following linear program: Maximize: z= x +3x + 2x + 2x. subject to: x + 2x. +x + 3x. +x. -2x +x + 3x. -X+X+2x + X. -6 + X -4 with: all variables nonnegative How may basic variables does the problem has? i1) i) Give an example of variables which can not form a set of basic variables together. Give reasons. 111) Write one degenerate basic feasible solution.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:-) Consider the following linear program:
Maximize: z =x +3x + 2x. + 2x.
subject to: x +2x +x +3x. +x.
-2x +x + 3x
-X +x+ 2x
+ X.
- 6
+ X
- 4
with: all variables nonnegative
How may basic variables does the problem has?
ii)
Give an example of variables which can not form a set of basic variables together.
Give reasons.
Write one degenerate basic feasible solution.
111)
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